Sequences & Series · NDA previous year questions

2026 4 questions

1. Q402026 · 12 Apr 2026

   Passage: Let $X(a,p),Y(b,q)$ and $Z(c,r)$ be the points such that $a,b$ and $c$ are in AP. Question: If $p,q$ and $r$ are not in AP and $b=c$, then the line joining the points $X,Y$ and $Z$ is parallel to

   1. A.$y$-axis
   2. B.$x$-axis
   3. C.$y=x$
   4. D.$y=-x$
   Show answer

   Answer: A

2. Q412026 · 12 Apr 2026

   If $p^{\text{th}}$ term of an AP is $k$, then what is the sum of $p^{\text{th}}$ term, $(p+q{)}^{\text{th}}$ term and $(p-q{)}^{\text{th}}$ term of the AP ?

   1. A.$2k$
   2. B.$3k$
   3. C.$4k$
   4. D.$5k$
   Show answer

   Answer: B

3. Q422026 · 12 Apr 2026

   The sum of the first $n$ terms of an AP is $3n^2+5n$. If the $m^{\text{th}}$ term of the AP is 68, then what is the value of $m$ ?

   1. A.9
   2. B.10
   3. C.11
   4. D.12
   Show answer

   Answer: C

4. Q442026 · 12 Apr 2026
   
   1. A.$2k$
   2. B.$3k$
   3. C.$4k$
   4. D.$5k$
   Show answer

   Answer: C